Work out t score conversion instantly with clear inputs, formula shown and shareable results.
T scores set the mean at 50 and the standard deviation at 10, so T = 50 + 10z. A z of 1.5 is a T of 65, the 93.3rd percentile - the conventional borderline clinical threshold on instruments like the MMPI and the Child Behaviour Checklist, where T of 70 (two standard deviations) marks clinical significance.
z to T
T = 50 + 10z
T to z
z = (T - 50) / 10
They correspond to 1.5 and 2 standard deviations, the 93rd and 98th percentiles - conventional thresholds for borderline and clinically significant.
By definition yes. Do not confuse them with Student's t statistic, which is an entirely different quantity.